Skip to content

Course home

2.4 Statistical Distributions

2.4 Statistical Distributions

EasyMediumHard
1234567891011121314151617181920212223242526272829303132333435363738394041424344
Question 40

A random variable X X\,X has the binomial distribution B(200,0.4)B(200, 0.4)B(200,0.4).

The distribution of X X\,X is to be approximated by a normal distribution.

a.

State the mean and the variance of the normal distribution that should be used.

[2]
b.

Give one reason why a normal approximation is reasonable in this case.

[1]
Markscheme

2.4 Statistical Distributions Questions

  1. A Level
  2. /Maths
  3. /2.4 Statistical Distributions

390 exam-style questions on OCR A Level Maths 2.4 Statistical Distributions, covering 2.4.1 Discrete probability distributions, 2.4.2 Binomial distribution as a model, 2.4.3 Calculating binomial probabilities, 2.4.4 Mean and variance of the binomial (A-level only), 2.4.5 Normal distribution as a model (A-level only), 2.4.6 Probabilities using the normal distribution (A-level only), 2.4.7 Links to histograms, mean and standard deviation (A-level only), and 2.4.8 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank